Surely there should be a movie where two women talk about the Bechdel test. But I digress.

The Bechdel test website rates famous movies. Currently they have rated 4,683 movies and 56% pass the test. More than half of the movies pass the test. There is hope. Right? Actually they have a separate list of the top 250 famous movies. Only 70 movies, or 28%, from this list pass the test.

My son Alexey suggested the obvious reverse Bechdel test, which is more striking than the Bechdel test. A movie doesn’t pass the test if it

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Ionica:

Stanford: I missed my prom in high school because…
Anthony Marantino: You were gay.
Stanford: No. My girlfriend and I broke up the night before because…
Anthony Marantino: You were gay.
Stanford: No. I wasn’t gay until…
Anthony Marantino: You were born.
Stanford: Never mind.

Graham:

Hmm… It is some years since I did formal logic but doesn’t any movie which contains two named men who never talk to each other fail the test? Your test seems to be: Movie fails if there exists named men A, B such that “A and B talk” implies “they talk only about women”. Which is true if there exist named men A, B such that A and B talk is false.

Obviously that isn’t what you meant. But I am genuinely not sure how you mean the test to work. Did you mean that the movie fails if “for all named men A, B, ‘A and B talk’ implies ‘they only talk about women'”? Or the movie fails if “there exists named men A, B such that A and B talk and they only talk about women”?